Let \(x_{1}=17, x_{2}=1, x_{3}=0 ; y_{1}=5, y_{2}=2, y_{3}=8\). Calculate the following:

a. \(\sum_{i=1}^{2} x_{i}\)

b. \(\sum_{t=1}^{3} x_{t} y_{t}\)

c. \(\bar{x}=\left(\sum_{i=1}^{3} x_{i}\right) / 3\) [Note: \(\bar{x}\) is called the arithmetic average or arithmetic mean.]

d. \(\sum_{i=1}^{3}\left(x_{i}-\bar{x}\right)\)

e. \(\sum_{i=1}^{3}\left(x_{i}-\bar{x}\right)^{2}\)

f. \(\left(\sum_{i=1}^{3} x_{i}^{2}\right)-3 \bar{x}^{2}\)

g. \(\sum_{i=1}^{3}\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)\) where \(\bar{y}=\left(\sum_{i=1}^{3} y_{i}\right) / 3\)

h. \(\left(\sum_{j=1}^{3} x_{j} y_{j}\right)-3 \bar{x} \bar{y}\)